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Finding the Third Proportional to 583,926 and 1,255,150

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Solution

The third proportional to 583,926 and 1,255,150 is: 2,697,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,926 : 1,255,150 = 1,255,150 : x
  2. Step 2: Convert to fraction form
    583,926/1,255,150 = 1,255,150/x
  3. Step 3: Cross multiply
    583,926x = 1,255,150 × 1,255,150
  4. Step 4: Simplify right side
    583,926x = 1,575,401,522,500
  5. Step 5: Solve for x
    x = 1,575,401,522,500/583,926
  6. Step 6: Final answer
    x = 2,697,947.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.